结构振动主动控制的多时滞控制律的设计方法

陈龙祥; 蔡国平

doi:10.3879/j.issn.1000-0887.2009.11.006

结构振动主动控制的多时滞控制律的设计方法

doi: 10.3879/j.issn.1000-0887.2009.11.006

陈龙祥¹,
蔡国平^1,2

上海交通大学工程力学系上海 200240;2.上海交通大学海洋工程国家重点实验室上海 200240

基金项目: 国家自然科学基金资助项目(10772112;10472065);教育部重点资助项目(107043);上海市教育委员会科研创新重点资助项目(09ZZ17);教育部博士点专项基金资助项目(20070248032);海洋工程国家重点实验室自主研究课题资助项目(GKZD010807)

详细信息

作者简介:
陈龙祥(1981- ),男,湖北人,助理研究员(联系人.Tel:+86-21-34207155;E-mail:chenlx@sjtu.edu.cn).

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出版历程
- 收稿日期: 2009-03-04
- 修回日期: 2009-09-27
- 刊出日期: 2009-11-15

Design Method of Multiple Time-Delay Controller for Active Structural Vibration Control

CHEN Long-xiang¹,
CAI Guo-ping^1,2

Department of Engineering Mechanics, Shanghai Jiaotong University, Shanghai 200240, P. R. China;

摘要

摘要: 对遭受地震激励的建筑结构主动控制中的多时滞问题进行研究．通过一种特殊的系统状态变量增广，将包含有多时滞项的系统状态方程转化为形式上不包含时滞的标准离散形式，然后采用离散最优控制方法设计时滞控制律．最后通过数值仿真验证了多时滞控制律的有效性．仿真结果显示，若对时滞不进行处理，控制系统会在很小时滞量的情况下出现发散，而该文中的时滞问题处理方法能够取得良好的控制效果，而且该方法不但能处理小时滞量问题，也能处理大时滞量问题．
- 建筑结构 /
- 主动控制 /
- 多时滞
Abstract: Optmial control method for seismically excited building structures with multiple tmie delays is investigated. Firstly the system state equation with multiple time delays is discretized and transformed into a standard discrete form without any explicit tmie delay by a particular augmenting for state variables. Then a tmie-delay controller is designed based on this standard equation using the discrete optimal control method. Finally the effectiveness of the proposed controller is demonstrated by numerical smiulations. Smiulation results indicate that a very small tmie delaymay resultin in stability of the control system if it is not compensated in control design. Tmie delay may be compensated effectively by the proposed controller and good control effectiveness may be obtained simultaneously. Moreover, the proposed controller is available for both small and large tmie delay.
- building structures /
- active control /
- multiple time delays

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参考文献(12)

[1]	胡海岩.振动主动控制中的时滞动力学问题[J].振动工程学报,1997,10(3):273-27.
[2]	Abdel-Rohman M.Time-delay effects on active damped structures[J].Journal of Engineering Mechanics,ASCE,1987,113(11):1709-1719. doi: 10.1061/(ASCE)0733-9399(1987)113:11(1709)
[3]	Chung L L,Reinhorn A M,Soong T T.Experiments on active control of seismic structures[J].Journal of Engineering Mechanics,ASCE,1988,114(2),241-256.
[4]	Mc Greery S,Soong T T,Reinhorn A M.An experiments study of time delay compensation in active structural control[C].In:Proc of 6th Int Modal Analys is Conference,SEM,1988,1733-1739.
[5]	CAI Guo-ping,HUANG Jin-zhi.Optimal control method for seismically excited building structures with time-delay in control[J].Journal of Engineering Mechanics,ASCE,2002,128(6):602-612. doi: 10.1061/(ASCE)0733-9399(2002)128:6(602)
[6]	Xu J,Chung K W.Effects of time delayed position feedback on a van der Pol-Duffing oscillator[J].Physica D,2003,18(12):17-39.
[7]	Hosek M,Olgac N.A single-step automatic tuning algorithm for the delayed resonator vibration absorber[J].IEEE/ASME Transactions on Mechatronics,2002,7(2):245-255. doi: 10.1109/TMECH.2002.1011261
[8]	陈龙祥.结构振动的时滞反馈控制及其实验研究[D].博士学位论文.上海：上海交通大学,2008.
[9]	CAI Guo-ping,Lim C W.Optimal tracking control of flexible hub-beam system with time delay[J].Multibody System Dynamics,2006,16(4):331-350. doi: 10.1007/s11044-006-9029-z
[10]	Wang Z H,Hu H Y.Stabilization of vibration systems via delayed state difference feedback[J].Journal of Sound and Vibration,2006,296(1/2):117-129. doi: 10.1016/j.jsv.2006.02.013
[11]	孙增祈.计算机控制理论及应用[M].北京:清华大学出版社,1989.
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结构振动主动控制的多时滞控制律的设计方法

doi: 10.3879/j.issn.1000-0887.2009.11.006

作者简介:
陈龙祥(1981- ),男,湖北人,助理研究员(联系人.Tel:+86-21-34207155;E-mail:chenlx@sjtu.edu.cn).

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Design Method of Multiple Time-Delay Controller for Active Structural Vibration Control

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结构振动主动控制的多时滞控制律的设计方法

doi: 10.3879/j.issn.1000-0887.2009.11.006

作者简介: 陈龙祥(1981- ),男,湖北人,助理研究员(联系人.Tel:+86-21-34207155;E-mail:chenlx@sjtu.edu.cn).

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Design Method of Multiple Time-Delay Controller for Active Structural Vibration Control

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出版历程

目录

作者简介:
陈龙祥(1981- ),男,湖北人,助理研究员(联系人.Tel:+86-21-34207155;E-mail:chenlx@sjtu.edu.cn).